Edexcel gcse mathematics linear 1ma0 upper and lower bounds materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. A selection of some of my favourite, free maths activities to use in lessons. Scroll down the page for more examples and solutions on calculating upper and lower bounds. By considering both upper and lower bounds, work out the average speed of the car, in miles per hour, over the course of the journey to a suitable degree of accuracy.
Gcse maths help upper bounds and lower bounds the student. Gcse upper and lower bounds in relation to measurements. Bounds, upper and lower in mathematics, important characteristics of sets on a number line. A set of 8 gcse exam style questions on upper and lower bounds. Higher tier questions and model answers 2 pdf files.
As part of the planning process i had a look through the higher textbooks our department has bought for the new specification gcse we bought the pearson ones, the full suite at ks3. In this exercise we are going to look at upper and lower bounds. Find the interval within which x, the actual mass of the bag of. Upper and lower bounds examples, solutions, videos. Examstandard questions and model answers on lower and upper bounds, for aqa gcse higher 2015 gcse 91 specification. The upper bound of a set e of real numbers is the smallest number of all numbers a, which possess the property such that for any x of e the inequality x. Upper and lower bounds topics it would be useful for students to know. Upper and lower bounds approximation edexcel gcse maths. Learn about and revise approximation using a range of rounding and estimation techniques with this bbc bitesize gcse maths edexcel study guide.
With the help of computer, we obtain that there is exactly one graph in the set of 2, 2, 4. The first example explains what upper and lower bounds are. Gcse revision upper and lower bounds teaching resources. Approximation upper and lower bounds describe the limits of accuracy for a given value. Visit the my tarsia page for lots of different ideas for using this wonderful free resource, and to get hold of the software yourself. The upper bound for the volume of the prism is 51561. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. If you are happy to be contacted, please tick the box. The following diagram gives the steps to find the upper and lower bounds. To find the upper bound for the average speed, we will need the upper bound for the distance and the lower bound for the time a smaller denominator means a bigger number.
The use of bounds is a practical mathematical method quite different from decimal rounding. Individuals watch a video about how to find the highest and lowest possible numbers that result in a given value when rounded to a certain place value. Upper and lower bounds assessment for 8th 10th grade. Im watching a video on upper and lower bounds from maths genie and dont quite get it. Upper and lower bounds worksheets, questions and revision. Bingo game which can be used as a starter or wrap up. Upper and lower bounds gcse higher teaching resources. Upper and lower bounds archives gcse maths tutorials. Edexcel gcse mathematics linear 1ma0 upper and lower bounds materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser edexcel gcse mathematics linear 1ma0 upper and lower bounds answers.
This upper and lower bounds assessment is suitable for 8th 10th grade. I also make them available for a student who wants to do focused independent study on a topic. The corbettmaths video tutorial on limits of accuracy upperlower bounds. Lower and upper bounds practice sheet questions aqa. May 28, 20 the corbettmaths video tutorial on limits of accuracy upper lower bounds. Question on upper and lower bounds the student room. Apply and interpret upper and lower bounds approximation. Bounds oxnotes gcse revision free gcseigcse revision notes. Examstandard questions and model answers on lower and upper bounds, for edexcel gcse higher 2015 gcse 91 specification. Questions are from higher tier 91 maths gcse exam questions. Lower and upper bounds aqa higher these questions are suitable for higher tier students all questions can be done with a calculator model answers. If a value is rounded, its upper or lower bound as appropriate should be used when finding the largest or smallest possible answers to a calculation. This week i was planning to cover upper and lower bounds with year 11 as on the last mock a lot of them made mistakes so i felt it would be a good topic to revise. Maths revision video and notes on the topic of upper and lower bounds.
The example says 50m is measured to the nearest metre so the upper and lower bounds are 50. Lower and upper bounds describe all the possible values that an approximated number or measurement could have been before it was rounded. If you like this resource, then please rate it andor leave a comment if the rateresource button on this page does not work, then go to. Speed, distance, time area of a circle standard form surface area of a sphere the word document contains the questionsanswers. I usually print these questions as an a5 booklet and issue them in class or give them out as a homework. We shall explore numbers rounded to the nearest 10, 100 or 1 and work out the lowest and highest values of the original rounded values. How to answer gcse exam questions on upper and lower bounds, examples and step by step solutions, gcse maths. In other words, the upper bound of set e is that number a such that for any x of e the. Lots of drag and drop activity with instant feedback.
Upper and lower bounds gcserevision, maths, shapespace. Gcse maths bounds questions and answers exam answers free. An example of an actual bounds question appearing in an igcse paper is. Lower and upper bounds practice sheet questions aqa higher v2. If youre not sure about rounding, more information can be found here s. Facebook0tweet0pin0like0share0email0past paper past paper bounds. This worksheet explores bounds in a variety of units and practical situations. Dec 18, 2017 video tutorial on what upper and lower bounds are and how to use and apply them to some typical exam style questions.
Bounds, upper and lower article about bounds, upper and. Igcse maths upper and lower bounds lesson 16 youtube. Upper and lower bounds on measures bingo lesson plan template and teaching resources. Working out error bounds is the opposite process it is finding how big upper bound or how small lower bound the number could have been, before it was rounded. Oct 25, 2017 the first example explains what upper and lower bounds are. A rectangle has length 12cm correct to the nearest cm and width 4.
I have tried out each and every one with my students. Upper and lower bounds on measures bingo share my lesson. You may view or download the pdf version of this worksheet with answers here. Upper and lower bounds when a measurement is rounded to a unit, the measurement can be anything up to half a unit bigger or smaller. Edexcel gcse mathematics linear 80 paper 4 calculator bounds past paper questions arranged by topic materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser, calculator. A direct link to a whole bundle of topquality, free questions on this given topic, either ordered by newest first, or most used. If a value is rounded, its upper or lower bound as appropriate should be used when finding the largest or smallest possible answers to. When a number has been recorded to a certain accuracy for instance, the nearest metre, we can work out its highest and lowest possible values according to the limits of accuracy provided.
More lessons for gcse maths math worksheets examples, videos, solutions, activities, and worksheets that are suitable for gcse maths. In this note, we will improv e the upper and lower bounds for f v 4, 4. Questions based on finding the upper or lower bound of a given measurement. Mar 05, 2016 this week i was planning to cover upper and lower bounds with year 11 as on the last mock a lot of them made mistakes so i felt it would be a good topic to revise. In this lesson, learners will be able to apply and interpret upper and lower bounds when rounding or truncating numbers. On the contrary, to find the lower bound for the average speed we will need the lower bound for the distance and the upper bound for the time a bigger denominator means a. Build your own quizzes, or just use individual questions. Edexcel gcse mathematics linear 1ma0 upper and lower bounds. Maths genie revision bounds free online gcse and a. Upper and lower bounds exam solutions examples, videos. Following that i will show you a quick and easy method of finding upper and lower bounds. Video tutorial on what upper and lower bounds are and how to use and apply them to some typical exam style questions. Are you looking to set up a school or business invoice account.
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